Stability and exponential stability of linear discrete systems with constant coefficients and single delay

被引：20
|
作者：
Diblik, J. [1 ]
Khusainov, D. Ya. [2 ]
Bastinec, J. [1 ]
Sirenko, A. S. [2 ]
机构：
[1] Brno Univ Technol, CS-61090 Brno, Czech Republic
[2] Natl Taras Shevchenko Univ Kiev, Kiev, Ukraine
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 269卷
关键词：
Stability; Lyapunov function; Delay; Discrete system; Matrix equation; ASYMPTOTIC STABILITY;
D O I：
10.1016/j.amc.2015.07.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay x(k + 1) = Ax(k) + Bx(k - m), k = 0,1, ... where A, B are square constant matrices and m is an element of N. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：9 / 16
页数：8
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